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1307044640 = 255111315669
BaseRepresentation
bin100110111100111…
…1110101100100000
310101002102202011202
41031321332230200
510134100412030
6333410300332
744250460526
oct11571765440
93332382152
101307044640
11610879a90
123058876a8
1317aa335c5
14c5836316
1579b32745
hex4de7eb20

1307044640 has 96 divisors (see below), whose sum is σ = 3394923840. Its totient is φ = 471577600.

The previous prime is 1307044601. The next prime is 1307044657. The reversal of 1307044640 is 464407031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227726 + ... + 233394.

It is an arithmetic number, because the mean of its divisors is an integer number (35363790).

Almost surely, 21307044640 is an apocalyptic number.

1307044640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697461920).

1307044640 is an abundant number, since it is smaller than the sum of its proper divisors (2087879200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1307044640 is a wasteful number, since it uses less digits than its factorization.

1307044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1307044640 is about 36153.0723452378. The cubic root of 1307044640 is about 1093.3607353169.

The spelling of 1307044640 in words is "one billion, three hundred seven million, forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 131 160 176 220 262 352 440 524 655 880 1048 1310 1441 1760 2096 2620 2882 4192 5240 5669 5764 7205 10480 11338 11528 14410 20960 22676 23056 28345 28820 45352 46112 56690 57640 62359 90704 113380 115280 124718 181408 226760 230560 249436 311795 453520 498872 623590 742639 907040 997744 1247180 1485278 1995488 2494360 2970556 3713195 4988720 5941112 7426390 8169029 9977440 11882224 14852780 16338058 23764448 29705560 32676116 40845145 59411120 65352232 81690290 118822240 130704464 163380580 261408928 326761160 653522320 1307044640